## Intermediate Algebra (12th Edition)

Using the properties of equality, the given equation, $13x-(x+7)=12x-13 ,$ is equivalent to \begin{array}{l}\require{cancel} 13x-x-7=12x-13 \\\\ 13x-x-12x=-13+7 \\\\ 0=-6 \text{ (FALSE)} .\end{array} Since the solution above ended with a FALSE statement, then the given equation is $\text{ a contradiction .}$ Hence, there is $\text{ no solution }.$